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Finding the Third Proportional to 341,792 and 747,912

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Solution

The third proportional to 341,792 and 747,912 is: 1,636,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,792 : 747,912 = 747,912 : x
  2. Step 2: Convert to fraction form
    341,792/747,912 = 747,912/x
  3. Step 3: Cross multiply
    341,792x = 747,912 × 747,912
  4. Step 4: Simplify right side
    341,792x = 559,372,359,744
  5. Step 5: Solve for x
    x = 559,372,359,744/341,792
  6. Step 6: Final answer
    x = 1,636,587.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.